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Finding the Fourth Proportional to 1,941.84, 2,909.52 and 1,596.24

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Solution

The fourth proportional to 1,941.84, 2,909.52 and 1,596.24 is: 2,391.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.84 : 2,909.52 = 1,596.24 : x
  2. Step 2: Convert to fraction form
    1,941.84/2,909.52 = 1,596.24/x
  3. Step 3: Cross multiply
    1,941.84x = 2,909.52 × 1,596.24
  4. Step 4: Simplify right side
    1,941.84x = 4,644,292.20
  5. Step 5: Solve for x
    x = 4,644,292.20/1,941.84
  6. Step 6: Final answer
    x = 2,391.70

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